Final answer:
The amplitude cannot be determined from the given information. The wavelength is 8.0 cm, the frequency is 0.5 Hz, the period is 2.0 s, and the velocity is 4.0 cm/s.
Step-by-step explanation:
To determine the characteristics of a wave given its wavelength and speed, we make use of the fundamental relationships between these properties.
- The amplitude of a wave is not given by these properties directly and might be found in a graph or from experimental data. Since we do not have such data here, the amplitude cannot be determined from the given information.
- Wavelength (λ) is the distance between two consecutive identical points on the wave, such as crests or troughs, and in this case is 8.0 cm.
- To calculate the frequency (f), we use the relationship f = v / λ, where v is the velocity of the wave (4.0 cm/s). Thus, f = (4.0 cm/s) / (8.0 cm) = 0.5 Hz.
- The period (T) is the inverse of the frequency, which is T = 1 / f. T = 1 / 0.5 Hz = 2.0 s.
- The velocity (v) of the wave is already given as 4.0 cm/s.